33edo: Difference between revisions

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

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31: 1127.273 23/12

32: 1163.636 47/24

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;33edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;33 equal division&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 33 equal parts of 36.3636 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It is not especially good at representing all rational intervals in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, but it does very well on the 7-limit &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt;3*33 subgroup&lt;/a&gt; 2.27.15.21.11.13. On this subgroup it tunes things to the same tuning as &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;, and as a subgroup patent val it tempers out the same commas. The 99 equal temperaments hemififths, amity, parakleismic, hemiwuerschmidt, ennealimmal and hendecatonic can be reduced to this subgroup and give various possibilities for MOS scales, etc. The full system of harmony provides the optimal patent val for &lt;a class="wiki_link" href="/Mint%20temperaments#Slurpee"&gt;slurpee temperament&lt;/a&gt; in the 5, 7, 11 and 13 limits.&lt;br /&gt;

31: 1127.273 23/12&lt;br /&gt;

32: 1163.636 47/24&lt;br /&gt;